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Finding the Fourth Proportional to 1,205.69, 1,664.13 and 785.31

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Solution

The fourth proportional to 1,205.69, 1,664.13 and 785.31 is: 1,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.69 : 1,664.13 = 785.31 : x
  2. Step 2: Convert to fraction form
    1,205.69/1,664.13 = 785.31/x
  3. Step 3: Cross multiply
    1,205.69x = 1,664.13 × 785.31
  4. Step 4: Simplify right side
    1,205.69x = 1,306,857.93
  5. Step 5: Solve for x
    x = 1,306,857.93/1,205.69
  6. Step 6: Final answer
    x = 1,083.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.